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Techniques to enhance the accuracy and efficiency of finite-difference modelling for the propagation of elastic waves.

机译：增强弹性波传播有限差分建模的准确性和效率的技术。

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New techniques are described to enhance the accuracy and efficiency of finite-difference modelling for the propagation of elastic waves.;The most important technique involves the active adjustment of the frequency content of each finite modelling step. This contrasts with most current finite-difference modelling practise, which uses frequency analysis only to evaluate the utility of various other processes within a step. In order to adjust frequency content with spatial operators of limited size, procedures combining Fourier analysis and optimization are developed. This is done first for one spatial dimension, and then for two. Tests show obvious improvements by use of this technique.;A second technique develops a mathematical definition of a transmitting edge for finite-difference models, often called an absorbing boundary. Tests indicate that this is a valid concept, and show some encouraging results.;Three case studies are also included where finite-difference modelling sheds some light on elastic propagation problems. The first shows how Rayleigh (surface) waves are transmitted and reflected at simple velocity boundaries. The second shows how near surface conditions affect the character of body and surface waves. The third shows where finite-difference modelling may add to the realism of AVO interpretations.

机译：描述了提高弹性波传播的有限差分建模的准确性和效率的新技术。最重要的技术是主动调整每个有限建模步骤的频率含量。这与大多数当前的有限差分建模实践相反，后者仅使用频率分析来评估一个步骤中各种其他过程的效用。为了用有限大小的空间算子调整频率含量，开发了结合傅里叶分析和优化的程序。首先针对一个空间维度，然后针对两个维度。测试显示使用此技术有明显的改善。第二种技术为有限差分模型（通常称为吸收边界）开发了传输边的数学定义。测试表明这是一个有效的概念，并显示出令人鼓舞的结果。;还包括三个案例研究，其中有限差分模型为弹性传播问题提供了一些启示。第一个显示了瑞利（表面）波如何在简单的速度边界处传输和反射。第二部分显示了近地表条件如何影响体波和面波的特性。第三部分显示了有限差分建模可以增加AVO解释的真实性的地方。

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作者
Manning, Peter Malcolm.;
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作者单位

University of Calgary (Canada).;

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授予单位 University of Calgary (Canada).;
学科 Geophysics.
学位 Ph.D.
年度 2008
页码 239 p.
总页数 239
原文格式 PDF
正文语种 eng
中图分类地球物理学;
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Techniques to enhance the accuracy and efficiency of finite-difference modelling for the propagation of elastic waves.

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